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在弹塑性大变形分析中,控制微分方程的分叉现象予示了一系列有实际工程背景的破坏机理。文献考虑了无限平面内夹有一薄层另种材料的层间不稳定。但分叉方程的推导涉及极繁琐的复数演算,难以推广运用于有限厚度的多层复合板。本文提出由计算机自动形成分叉方程,并对非钱性特征方程迭代求解,模拟出分叉现象。通过若干算例证实了所提方法的可行性,并对影响层合板分叉的诸因素进行了讨论,尤其是成功地口拟了层间剪力集中现象。
In the elasto-plastic large deformation analysis, the bifurcation of the control differential equation shows a series of failure mechanisms with practical engineering background. The literature considers interlaminar instability with a thin layer of another material in an infinity plane. However, the derivation of bifurcation equations involves very complex and complex calculus, which makes it difficult to promote multi-layer composite boards for limited thickness. In this paper, the computer automatically forms a bifurcation equation and iteratively solves the non-monetary characteristic equation to simulate the bifurcation. Several examples are given to verify the feasibility of the proposed method. The factors that affect the bifurcation of the laminates are also discussed. In particular, the interlaminar shear stress concentration is successfully proposed.